Number field data - 8.2.81415168.2

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• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 0, -2, 6, 0, -8, 8, -4, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 81415168, 'disc_rad': 86, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [[8, 1]]], [7, [[8, 1]]], [11, [[3, 2], [1, 2]]], [13, [[6, 1], [2, 1]]], [17, [[3, 2], [1, 2]]], [19, [[2, 3], [1, 2]]], [23, [[6, 1], [2, 1]]], [29, [[8, 1]]], [31, [[6, 1], [2, 1]]], [37, [[2, 3], [1, 2]]], [41, [[6, 1], [2, 1]]], [43, [0]], [47, [[4, 2]]], [53, [[3, 2], [1, 2]]], [59, [[4, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [64, 24], 'galois_label': '8T23', 'galt': 23, 'grd': 16.52370966031933, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '8.2.81415168.2', 'local_algs': ['2.1.8.10b1.1', '43.2.1.0a1.1', '43.1.2.1a1.2', '43.2.2.2a1.2'], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 3, 'ramps': [2, 43], 'rd': 9.74626387324, 'regulator': {'__RealLiteral__': 0, 'data': '8.25075445397', 'prec': 44}, 'res': {'ae': ['-2,8,-10,2,10,-14,10,-4,1'], 'sib': ['-2,4,-4,8,-24,32,-14,-24,68,-122,184,-180,18,256,-428,336,-72,-142,196,-144,80,-40,18,-6,1', '4,24,88,152,188,108,56,-24,24,-16,24,-20,12,-6,6,-2,1']}, 'subfield_mults': [1], 'subfields': ['-1.-2.0.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{19} a^{7} - \\frac{12}{19} a^{6} + \\frac{28}{19} a^{5} - \\frac{42}{19} a^{4} + \\frac{13}{19} a^{3} + \\frac{35}{19} a^{2} - \\frac{16}{19} a - \\frac{5}{19} \\)', '\\( \\frac{13}{19} a^{7} - \\frac{42}{19} a^{6} + \\frac{79}{19} a^{5} - \\frac{71}{19} a^{4} - \\frac{2}{19} a^{3} + \\frac{18}{19} a^{2} + \\frac{1}{19} a + \\frac{11}{19} \\)', '\\( a - 1 \\)', '\\( \\frac{7}{19} a^{7} - \\frac{27}{19} a^{6} + \\frac{44}{19} a^{5} - \\frac{28}{19} a^{4} - \\frac{42}{19} a^{3} + \\frac{55}{19} a^{2} + \\frac{21}{19} a - \\frac{35}{19} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/19*a^7 + 7/19*a^6 + 9/19*a^5 - 4/19*a^4 - 6/19*a^3 - 3/19*a^2 + 3/19*a - 5/19']}